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Finding the Fourth Proportional to 100,927.40, 151,172.40 and 83,431.40

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Solution

The fourth proportional to 100,927.40, 151,172.40 and 83,431.40 is: 124,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,927.40 : 151,172.40 = 83,431.40 : x
  2. Step 2: Convert to fraction form
    100,927.40/151,172.40 = 83,431.40/x
  3. Step 3: Cross multiply
    100,927.40x = 151,172.40 × 83,431.40
  4. Step 4: Simplify right side
    100,927.40x = 12,612,524,973.36
  5. Step 5: Solve for x
    x = 12,612,524,973.36/100,927.40
  6. Step 6: Final answer
    x = 124,966.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.